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20302032 = 24319113197
BaseRepresentation
bin100110101110…
…0100011010000
31102012110011010
41031130203100
520144131112
62003050520
7334364412
oct115344320
942173133
1020302032
1110507243
126970a40
13428aa4a
1429a69b2
151bb063c
hex135c8d0

20302032 has 80 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 6322176.

The previous prime is 20302027. The next prime is 20302067. The reversal of 20302032 is 23020302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20301999 and 20302017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102958 + ... + 103154.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 220302032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

20302032 is an abundant number, since it is smaller than the sum of its proper divisors (35676528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20302032 is a wasteful number, since it uses less digits than its factorization.

20302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20302032 is about 4505.7776243397. Note that the first 3 decimals coincide. The cubic root of 20302032 is about 272.8013421445.

Adding to 20302032 its reverse (23020302), we get a palindrome (43322334).

The spelling of 20302032 in words is "twenty million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 113 114 152 197 226 228 304 339 394 452 456 591 678 788 904 912 1182 1356 1576 1808 2147 2364 2712 3152 3743 4294 4728 5424 6441 7486 8588 9456 11229 12882 14972 17176 22261 22458 25764 29944 34352 44522 44916 51528 59888 66783 89044 89832 103056 133566 178088 179664 267132 356176 422959 534264 845918 1068528 1268877 1691836 2537754 3383672 5075508 6767344 10151016 20302032